Question

sin2x=_____?

Answer 1

Hellow, Jules! How are the strawberries today?

There is a trig identity for sin 2x. It's worth learning and memorizing it.

But if you insist on finding an expression for sin 2x yourself, why not use the common trig identity sin (a+b) = sin a cos b + cos a sin b?

Answer 2

The strawberries are great :) i most certainly do not want to fins it on my own, i would much prefer memorizing @mathmale

Answer 3

^find

Answer 4

\(\large\color{blue}{ \sin(2x)=\sin(x+x)=\sin(x)\cos(x)+\sin(x)\cos(x)=2\sin(x)\cos(x)}\) this is the proof for the rule,
\(\large\color{red}{ \sin(2x)=2\sin(x)\cos(x)}\)

Or,
\(\large\color{blue}{ \sin^2(x)=1-\cos^2(x)}\)

Answer 5

so what does this mean for my answer? is that my answer? @SolomonZelman

Answer 6

I don't want to copy mathmale, but it is fair to say that the problem lacks a little info.

Answer 7

that is what i was given, i'll give you my answer choices

Answer 8

In that case, Jules, memorize the formula developed from scratch here by Solomon Zelman:

\[\large\color{red}{ \sin(2x)=2\sin(x)\cos(x)}\]

...but I would much prefer you learn, remember and apply the approach used by Solomon.

I will trade you 7 blueberries for one strawberry.

Answer 9

THANK YOU!

Answer 10

you may have the strawberry

Answer 11

If you are given sin 2x without instructions, then the only responses that make much sense are

1) sin 2x = 2 sin x cos x (an identity), or
2) sin (x+x) = sin x cos x + cos x sin x, which simplifies to (1).

Answer 12

Thank you...that's really kind. :)

Answer 13

7 blueberries is less than 1 strawberry?? I like strawberry better though, so I wouldn't trade if I were you...

Answer 14

No. Actually, 7 blueberries = 1 strawberry in terms of enjoyment and taste value.

Answer 15

i think i need more blueberries....

Answer 16

By UPS Overnight Air Parcel Service? Gonna cost ya.

Answer 17

NO DEAL